102110000211200 has 216 divisors, whose sum is σ = 255887365389600. Its totient is φ = 40335478087680.

The previous prime is 102110000211091. The next prime is 102110000211211. The reversal of 102110000211200 is 2112000011201.

It is a super-3 number, since 3×102110000211200³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1348678946 + ... + 1348754654.

Almost surely, 2^{102110000211200} is an apocalyptic number.

102110000211200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102110000211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127943682694800).

102110000211200 is an abundant number, since it is smaller than the sum of its proper divisors (153777365178400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102110000211200 is an equidigital number, since it uses as much as digits as its factorization.

102110000211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78357 (or 78338 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 102110000211200 its reverse (2112000011201), we get a palindrome (104222000222401).

The spelling of 102110000211200 in words is "one hundred two trillion, one hundred ten billion, two hundred eleven thousand, two hundred".